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    Evaluation of Moments of Performance Functions Based on Efficient Cubature Formulation 

    Source: Journal of Engineering Mechanics:;2017:;Volume ( 143 ):;issue: 008
    Author(s): Jun Xu; Zhao-Hui Lu
    Publisher: American Society of Civil Engineers
    Abstract: Estimation of statistical moments of performance functions is one of the main topics in structural reliability analysis by moment methods. It is possible to apply the well-developed multiple-dimensional cubature formulas ...
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    Empirical Stress-Strain Model for Unconfined High-Strength Concrete under Uniaxial Compression 

    Source: Journal of Materials in Civil Engineering:;2010:;Volume ( 022 ):;issue: 011
    Author(s): Zhao-Hui Lu; Yan-Gang Zhao
    Publisher: American Society of Civil Engineers
    Abstract: In this note, a number of empirical models available in the literature of the complete stress-strain curve for unconfined high-strength concrete under uniaxial compression are reviewed and investigated using the published ...
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    Fourth-Moment Standardization for Structural Reliability Assessment 

    Source: Journal of Structural Engineering:;2007:;Volume ( 133 ):;issue: 007
    Author(s): Yan-Gang Zhao; Zhao-Hui Lu
    Publisher: American Society of Civil Engineers
    Abstract: In structural reliability analysis, the uncertainties related to resistance and load are generally expressed as random variables that have known cumulative distribution functions. However, in practical applications, the ...
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    Wind-Induced Hazard Assessment for Low-Rise Building Envelope Considering Potential Openings 

    Source: Journal of Structural Engineering:;2020:;Volume ( 146 ):;issue: 004
    Author(s): Xiaowen Ji; Guoqing Huang; Fengbo Wu; Zhao-Hui Lu
    Publisher: ASCE
    Abstract: The light-frame low-rise buildings widely used for residential and industrial purposes are very vulnerable to high winds. Postdisaster surveys indicated that envelope components such as windows, doors, and roof sheathings ...
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    Moment Method with Box–Cox Transformation for Structural Reliability 

    Source: Journal of Engineering Mechanics:;2020:;Volume ( 146 ):;issue: 008
    Author(s): Chao-Huang Cai; Zhao-Hui Lu; Yan-Gang Zhao
    Publisher: ASCE
    Abstract: Structural reliability analysis involving highly nonnormally distributed performance functions or relatively small failure probabilities is still a challenging problem in engineering practice. To overcome these problems, ...
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    An Adaptive Mixture of Normal-Inverse Gaussian Distributions for Structural Reliability Analysis 

    Source: Journal of Engineering Mechanics:;2022:;Volume ( 148 ):;issue: 003:;page 04022011
    Author(s): Jun Xu; Long Li; Zhao-Hui Lu
    Publisher: ASCE
    Abstract: Recovering the probability distribution of the limit state function is an effective method of structural reliability analysis, in which it still is challenging to balance the precision and computational efforts. This paper ...
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    Bayesian Updating of Time-Dependent Structural Reliability Using the Method of Moment 

    Source: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering:;2021:;Volume ( 007 ):;issue: 004:;page 04021066-1
    Author(s): Pei-Pei Li; Zhao-Hui Lu; Yan-Gang Zhao
    Publisher: ASCE
    Abstract: Bayesian updating of the reliability of deteriorating engineering structures based on inspection data has been attracting a lot of attention recently because it can provide more accurate estimates of the structural reliability ...
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    Structural Reliability Analysis Including Correlated Random Variables Based on Third-Moment Transformation 

    Source: Journal of Structural Engineering:;2017:;Volume ( 143 ):;issue: 008
    Author(s): Zhao-Hui Lu; Chao-Huang Cai; Yan-Gang Zhao
    Publisher: American Society of Civil Engineers
    Abstract: In structural reliability analysis, the input variables are often nonnormal and correlated. A procedure for efficient normal transformation, i.e., transforming dependent nonnormal random variables into independent ...
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    Unified Hermite Polynomial Model and Its Application in Estimating Non-Gaussian Processes 

    Source: Journal of Engineering Mechanics:;2019:;Volume ( 145 ):;issue: 003
    Author(s): Xuan-Yi Zhang; Yan-Gang Zhao; Zhao-Hui Lu
    Publisher: American Society of Civil Engineers
    Abstract: Non-Gaussian processes beset many aspects of structural engineering analysis. To estimate non-Gaussian processes, various third-order Hermite polynomial models have been proposed and widely applied. Different forms of ...
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    Monotonic Expression of Polynomial Normal Transformation Based on the First Four L-Moments 

    Source: Journal of Engineering Mechanics:;2020:;Volume ( 146 ):;issue: 007
    Author(s): Yan-Gang Zhao; Ming-Na Tong; Zhao-Hui Lu; Jun Xu
    Publisher: ASCE
    Abstract: Structural reliability analysis without the exclusion of random variables with unknown distributions has attracted increasing attention, and many endeavors have been devoted to this aspect. Recently, linear moments (L-moments) ...
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